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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1453-x)/1453+(1655-x)/4347 = 0.17285 .
Question type: Equation
Solution:Original question:
| ( | 1453 | − | x | ) | ÷ | 1453 | + | ( | 1655 | − | x | ) | ÷ | 4347 | = | 3457 20000 |
| Left side of the equation = | 1453 | × | 1 1453 | − | x | × | 1 1453 | + | ( | 1655 | − | x | ) | × | 1 4347 |
| = | 1453 1453 | − | x | × | 1 1453 | + | ( | 1655 | − | x | ) | × | 1 4347 |
| = | 1453 1453 | − | 1 1453 | x | + | 1655 | × | 1 4347 | − | x | × | 1 4347 |
| = | 1453 1453 | − | 1 1453 | x | + | 1655 4347 | − | x | × | 1 4347 |
| = | 6002 4347 | − | 5800 6316191 | x |
6002 4347 | − | 5800 6316191 | x | = | 3457 20000 |
Transposition :
| - | 5800 6316191 | x | = | 3457 20000 | − | 6002 4347 |
Combine the items on the right of the equation:
| - | 5800 6316191 | x | = | - | 105012421 86940000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
105012421 86940000 | = | 5800 6316191 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
5800 6316191 | x | = | 105012421 86940000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 105012421 86940000 | ÷ | 5800 6316191 |
| = | 105012421 86940000 | × | 6316191 5800 |
| = | 105012421 20000 | × | 1453 5800 |
We obtained :
| x | = | 152583047713 116000000 |